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Simplifying 4a2b(-2a2b + 6ab3) = 0 Reorder the terms: 4a2b(6ab3 + -2a2b) = 0 (6ab3 * 4a2b + -2a2b * 4a2b) = 0 (24a3b4 + -8a4b2) = 0 Solving 24a3b4 + -8a4b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8a3b2'. 8a3b2(3b2 + -1a) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'a3b2' equal to zero and attempt to solve: Simplifying a3b2 = 0 Solving a3b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3b2 + -1a)' equal to zero and attempt to solve: Simplifying 3b2 + -1a = 0 Reorder the terms: -1a + 3b2 = 0 Solving -1a + 3b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b2' to each side of the equation. -1a + 3b2 + -3b2 = 0 + -3b2 Combine like terms: 3b2 + -3b2 = 0 -1a + 0 = 0 + -3b2 -1a = 0 + -3b2 Remove the zero: -1a = -3b2 Divide each side by '-1'. a = 3b2 Simplifying a = 3b2Solution
a = {3b2}
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